Simplify: - 3 (y + 2) 2 - 5 + 6y What is the simplified product in standard form?

Simplify, then Distribute, then Combine like terms.

-3 (y + 2) 2 - 5 + 6y

= (-3 (y + 2)) (2) - 5 + 6y

= - 6y + - 12 + - 5 + 6y

= (-6y + 6y) + (-12 + - 5)

= - 17

Standard form, I assume is ay^2+by+c

so expand this stuff

-3 (y+2) ^2-5+6y

do exponent first

(y+2) ^2 = (y+2) (y+2) = y²+2y+2y+4=y²+4y+4

now

-3 (y²+4y+4) - 5+6y

multiply/distribute

-3y²-12y-12-5+6y

regroup like terms

-3y²-12y+6y-12-5

-3y²-6y-17

that is standard form